Frankel’s Theorem in the Symplectic Category
نویسنده
چکیده
We prove that if an (n − 1)-dimensional torus acts symplectically on a 2n-dimensional symplectic manifold, then the action has a fixed point if and only if the action is Hamiltonian. One may regard it as a symplectic version of Frankel’s theorem which says that a Kähler circle action has a fixed point if and only if it is Hamiltonian. The case of n = 2 is the well known theorem by McDuff.
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